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Finding the Fourth Proportional to 7,266.94, 10,898 and 2,824.29

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Solution

The fourth proportional to 7,266.94, 10,898 and 2,824.29 is: 4,235.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.94 : 10,898 = 2,824.29 : x
  2. Step 2: Convert to fraction form
    7,266.94/10,898 = 2,824.29/x
  3. Step 3: Cross multiply
    7,266.94x = 10,898 × 2,824.29
  4. Step 4: Simplify right side
    7,266.94x = 30,779,112.42
  5. Step 5: Solve for x
    x = 30,779,112.42/7,266.94
  6. Step 6: Final answer
    x = 4,235.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.